Use the properties of operations to subtract (h + k) - (2k+h)

Answer 1

To subtract \((h + k) - (2k + h)\), we can apply the properties of operations, specifically the associative and commutative properties, to simplify the expression.

1. Write the expression: \[ (h + k) - (2k + h) \]

2. Distribute the negative sign to the second expression: \[ (h + k) - 2k - h \]

3. Now, combine like terms:

   • The \(h\) and \(-h\) terms cancel each other out: \[ (h - h) + (k - 2k) = 0 + (k - 2k) \]

4. Simplify \(k - 2k\): \[ k - 2k = -k \]

5. Therefore, the simplified result is: \[ -(k) \]

So, the final answer is: \[ -(k) \quad \text{or} \quad -k \]